help me to solve this differential equation???

I am very beginner for matlab? Could anyone please help me to solve this differential equation?

9*[(d^2y)/dt^2]-24*(dy/dt)+16y=0

help me soon.......

[Andrew Newell]

chanidu, please read How do I get help on homework questions on MATLAB Answers?

Answer 1

[Torsten]

Fundamental system is

y1(x)=exp(4/3*x)
y2(x)=x*exp(4/3*x)

For a solution in MATLAB: help dsolve

Best wishes

Torsten.

[chanidu missaka]

i cannot understand that what u mean??? can u plz send me the code for solve it???

[Torsten]

The general solution is given by

y(t)=a*exp(4/3*t) + b*t*exp(4/3*t)

where a and b are constants to be determined from the boundary conditions.

Code:

syms y(t)
S=dsolve(9*diff(y,2)-24*diff(y)+16*y==0);

Best wishes

Torsten.

[Andrew Newell]

Torsten, in MATLAB Answers we don't do homework for people who simply ask us to do it for them and don't show any sign of having attempted it. See the link I provide at the top of this page.